Answer:
m = -5
Step-by-step explanation:
1/5 m = -1
Multiply each side by 5
5*1/5 m = -1*5
m = -5
Answer:
"a" must be negative
Step-by-step explanation:
The slope between points (-1, 1) and (1, -1) is a minimum of (-1-1)/(1-(-1)) = -1.
The slope between points (1, -1 and (3, -4) is a maximum of (-4-(-1))/(3-1) = -3/2.
Thus, as x increases, the slope is decreasing. In order for that to be the case, the value of <em>a</em> must satisfy a < 0.
Answer:
The correct options are:
Option B)
is never zero.
Option F) When x=0, y≠0
Step-by-step explanation:
Consider the provided function.
![y=4^x](https://tex.z-dn.net/?f=y%3D4%5Ex)
When we substitute x=0 in above function we get:
![y=4^{0}](https://tex.z-dn.net/?f=y%3D4%5E%7B0%7D)
![y=1](https://tex.z-dn.net/?f=y%3D1)
When we substitute x=-1 in above function we get:
![y=4^{-1}](https://tex.z-dn.net/?f=y%3D4%5E%7B-1%7D)
![y=0.25](https://tex.z-dn.net/?f=y%3D0.25)
When we substitute x=1 in above function we get:
![y=4^{1}](https://tex.z-dn.net/?f=y%3D4%5E%7B1%7D)
![y=4](https://tex.z-dn.net/?f=y%3D4)
The above function is exponential function which does not pass through the origin and the range of the function is a positive number.
The graph of the function is shown in figure 1.
Now consider the provided options.
Option A)
is always greater than or equal to 1.
The option is incorrect as the value of the function is less than 1 for negative value of x.
Option B)
is never zero
The option is correct.
Option C) When y=0, x=0
The option is incorrect.
Option D) When x=0, y=4
When x=0 the value of y is 1.
Thus, the option is incorrect.
Option E)
is zero when x=0
When x=0 the value of
is 1.
Thus, the option is incorrect.
Option F) When x=0, y≠0
The option is correct as 0≠1.
Convert 20 min to hrs: 20/60 = 1/3 hr
Let t = time on the bikethent-(1/3) = time on the bus
Write a dist equation Dist = speed * time:Bike dist + bus dist = 26 mi6t + 30[t-(1/3)] = 26:6t + 30t - 10 = 2636t = 26 + 1036t = 36t = 1 hr on the bike
6 mph for 1 h = 6 mi from house to the bus station
Check solution by finding the distance6(1) + 30(2/3) =6 + 20 = 26 mi
Answer:
B)
(in $)
Step-by-step explanation:
Value of $100 after 10 years if I earn 11 % interest per year is given by,
$ ![(100 \times (1 + \frac{11}{100})^{10})](https://tex.z-dn.net/?f=%28100%20%5Ctimes%20%281%20%2B%20%5Cfrac%7B11%7D%7B100%7D%29%5E%7B10%7D%29)
(in $)
We know that if,
Principal= P
Rate of annual compound interest = r %
Time = n year
then amount, A = ![P \times (1 + \frac{r}{100})^{n}](https://tex.z-dn.net/?f=P%20%5Ctimes%20%281%20%2B%20%5Cfrac%7Br%7D%7B100%7D%29%5E%7Bn%7D)